Finding the Third Proportional to 5,698.69 and 8,364.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,698.69 : 8,364.94 = 8,364.94 : x
2. Step 2: Convert to fraction form
   5,698.69/8,364.94 = 8,364.94/x
3. Step 3: Cross multiply
   5,698.69x = 8,364.94 × 8,364.94
4. Step 4: Simplify right side
   5,698.69x = 69,972,179.38
5. Step 5: Solve for x
   x = 69,972,179.38/5,698.69
6. Step 6: Final answer
   x = 12,278.65